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Finding the Third Proportional to 1,729,494,713,891 and 3,719,272,435,373

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Solution

The third proportional to 1,729,494,713,891 and 3,719,272,435,373 is: 7,998,282,583,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,494,713,891 : 3,719,272,435,373 = 3,719,272,435,373 : x
  2. Step 2: Convert to fraction form
    1,729,494,713,891/3,719,272,435,373 = 3,719,272,435,373/x
  3. Step 3: Cross multiply
    1,729,494,713,891x = 3,719,272,435,373 × 3,719,272,435,373
  4. Step 4: Simplify right side
    1,729,494,713,891x = 13,832,987,448,525,405,783,326,720
  5. Step 5: Solve for x
    x = 13,832,987,448,525,405,783,326,720/1,729,494,713,891
  6. Step 6: Final answer
    x = 7,998,282,583,590.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.